The science which defines the rules and methods for the investigation and exact determination of the meaning of the Scriptures, both legal and historical. Since the Halakah, however, is regarded simply as an exposition and explanation of the Torah, Talmud hermeneutics includes also the rules by which the requirements of the oral law are derived from and established by the written law. These rules relate to: (a) grammar and exegesis; (b) the interpretation of certain words and letters and superfluous words, prefixes, and suffixes in general; (c) the interpretation of those letters which, in certain words, are provided with points; (d) the interpretation of the letters in a word according to their numerical value (see Gemaṭria); (e) the interpretation of a word by dividing it into two or more words (see Noṭariḳon); (f) the interpretation of a word according to its consonantal form or according to its vocalization; (g) the interpretation of a word by transposing its letters or by changing its vowels; and (h) the logical deduction of a halakah from a Scriptural text or from another law.

Compilations of such hermeneutic rules were made in the earliest times. The tannaitic tradition recognizes three such collections, namely: (1) the seven Rules of Hillel (baraita at the beginning of Sifra; Ab. R. N. xxxvii.); (2) the thirteen Rules of R. Ishmael (baraita at the beginning of Sifra; this collection is merely an amplification of that of Hillel); and (3) the thirty-two Rules of R. Eliezer b. Jose ha-Gelili. The last-mentioned rules are contained in an independent baraita which has been incorporated and preserved only in later works. They are intended for haggadic interpretation; but many of them are valid for the Halakah as well, coinciding with the rules of Hillel and Ishmael.

It must be borne in mind, however, that neither Hillel, Ishmael, nor Eliezer ben Jose ha-Gelili sought to give a complete enumeration of the rules of interpretation current in his day, but that they omitted from their collections many rules which were then followed. For some reason or other theyrestricted themselves to a compilation of the principal methods of logical deduction, which they called "middot" (measures), although the other rules also were known by that term (comp. Sifre, Num. 2 [ed. Friedmann, p. 2a]).

All the hermeneutic rules scattered through the Talmudim and Midrashim have been collected by Malbim in "Ayyelet ha-Shaḥar," the introduction to his commentary on the Sifra, and have been arbitrarily reckoned at 613, to correspond with the 613 commandments. The antiquity of the rules can be determined only by the dates of the authorities who quote them; in general, they can not safely be declared older than the tanna to whom they are first ascribed. It is certain, however, that the seven middot of Hillel and the thirteen of Ishmael are earlier than the time of Hillel himself, who was the first to transmit them. At all events, he did not invent them, but merely collected them as current in his day, though he possibly amplified them.

The Talmud itself gives no information concerning the origin of the middot, although the Geonim regarded them as Sinaitic (V12p031001.jpg; comp. R. Samson of Chinon in his "Sefer ha-Keritot"). This can be correct only if the expression V12p031002.jpgV12p031003.jpg means nothing more than "very old," as is the case in many Talmudic passages. It is decidedly erroneous, however, to take this expression literally and to consider the middot as traditional from the time of Moses on Sinai.

The middot seem to have been first laid down as abstract rules by the teachers of Hillel, though they were not immediately recognized by all as valid and binding. Different schools interpreted and modified them, restricted or expanded them, in various ways. Akiba and Ishmael and their scholars especially contributed to the development or establishment of these rules. Akiba devoted his attention particularly to the grammatical and exegetical rules, while Ishmael developed the logical. The rules laid down by one school were frequently rejected by another because the principles which guided them in their respective formulations were essentially different. According to Akiba, the divine language of the Torah is distinguished from the speech of men by the fact that in the former no word or sound is superfluous. He established two principles broadening the scope of the rule of his teacher Nahum of Gimzo, who had declared that certain particles, like V12p031004.jpg, and V12p031005.jpg, were inclusive and certain others, such as V12p031006.jpg, and V12p031007.jpg, were exclusive. These two principles are: (1) V12p031008.jpg (= "one inclusion added to another is equivalent to an exclusion"; Sifra, Ẓaw, Pereḳ, 11 [ed. Weiss, p. 34d]); and (2) V12p031009.jpg (= "words are amplifications"; Yer. Shab. xix. 17a). Hence he interprets the following forms of expression as amplifications: an infinitive before a finite verb, e.g., V12p031010.jpg (Sanh. 64b); the doubling of a word, e.g., V12p031011.jpg (Yeb. 71a); and the repetition of a term by a synonym, e.g., V12p031012.jpg (Yer. Soṭah viii. 22b).

Ishmael, on the contrary, lays down the principle, V12p031013.jpg (= "the Torah speaks in the language of men"; Sifre, Num. 112). The Bible may, therefore, have employed superfluous words and sounds; and forced values should not be assigned to them for the purpose of deducing new rules therefrom. The same statement holds with regard to the repetition of an entire section. Ishmael is of the opinion that "the Torah at times repeats a whole section of the Law in order to give a new application to it" (V12p031014.jpgV12p031015.jpgV12p031016.jpg; Sifre, Num. 2, according to the reading of Elijah Wilna). It is not necessary, therefore, to draw a new inference from every repetition. Thus, for instance, in Num. v. 5-8 the Torah repeats the section on V12p031017.jpg in Lev. v. 20-26 (vi. 1-7, A. V.) for the purpose of teaching the new ruling that in certain cases recompense for sin shall be made directly to the priests. Akiba asserts, on the other hand (in Sifre, l.c., according to the reading of Elijah Wilna), that "Everything that is said in a section so repeated must be interpreted" (= V12p031018.jpgV12p031019.jpg), and that new deductions may be drawn from it. According to this view, in Num. v. 5-8, for example, a new meaning must be sought in the repetition of the Law. According to Akiba, the traditional vocalization in the Bible of a word which may be read in various ways is well founded (V12p031020.jpg); and he deduces many rules from the meanings which such words have according to traditional pointing. This rule had been formulated before Akiba by a tanna named R. Judah ben Ro'eẓ, who is not mentioned elsewhere, and of whom, consequently, nothing more is known (comp. Sanh. 4a).

Ishmael, in opposition to Akiba, follows the principle V12p031021.jpg, i.e., that the tradition regarding only the consonantal text is authoritative, and that rules may be deduced only from that text. A single example will serve to illustrate the difference between the methods of the two schools. In Lev. xxi. 11, in the law which forbids a priest to defile himself by touching a corpse, the word V12p031022.jpg is written defectively. Since the traditional reading indicates the plural, "nafshot," Akiba draws the conclusion that a quarter-log of blood, the minimum quantity by which a priest may be rendered unclean through contact with a single corpse, also defiles him when it issues from two bodies. According to Ishmael, however, this minimum quantity defiles a priest only when it issues from a single corpse; for the word, according to the consonantal text, is to be read in the singular "nafshat" (comp. Sanh. 4a, b, Ḥul. 72a, and Tosafot to both passages).

According to Akiba, laws may be deduced from the juxtaposition of two legal sections, since "every passage which stands close to another must be explained and interpreted with reference to its neighbor" (V12p031023.jpg; Sifre, Num. 131). According to Ishmael, on the contrary, nothing may be inferred from the position of the individual sections, since it is not at all certain that every single portion now stands in its proper place. Many a paragraph which forms, strictly speaking, the beginning of a book and should stand in that position, has been transposed to the middle.Ishmael explains the occurrence of a section in a place where it does not properly belong (V12p032001.jpgV12p032002.jpg) by declaring that "there is no first or last in the Scriptures" (V12p032003.jpg), not as due to any special reason (Mek., ed. Weiss, p. 48a; Eccl. R. i.; comp. Pes. 6b, where R. Pappa defines this principle in such a manner that it does not contradict Ishmael's rules concerning "Kelal uferaṭ"). Eliezer b. Jose ha-Gelili expanded this rule in his baraita and divided it into two parts (Nos. 31 and 32). The opposition between the schools of Ishmael and Akiba lessened gradually, and finally vanished altogether, so that the later tannaim apply the axioms of both indiscriminately, although the hermeneutics of Akiba predominated. In this way all the principles cited above obtained general recognition.

A more detailed discussion of the seven rules of Hillel and of the thirteen of Ishmael may now be given, together with certain other important canons of Talmud hermeneutics.

The first rule of Hillel and of Ishmael, called also "din" (conclusion). This is the argument "a minori ad majus" or "a majori ad minus." In the Baraita of Eliezer b. Jose ha-Gelili this rule is divided into two (Nos. 5 and 6), since a distinction is made between a course of reasoning carried to its logical conclusion in the Holy Scriptures themselves ("ḳal wa-ḥomer meforash") and one merely suggested there ("ḳal wa-ḥomer satum"). The completed argument is illustrated in ten examples given in Gen. R. xcii. The full name of this rule should be "ḳal wa-ḥomer, ḥomer we-ḳal" (simple and complex, complex and simple), since by it deductions are made from the simple to the complex or vice versa, according to the nature of the conclusion required. The major premise on which the argument is based is called "nadon," or, at a later period, "melammed" (that which teaches); the conclusion resulting from the argument is termed V12p032004.jpg, or, later, "lamed" (that which learns). The process of deduction in the ḳal wa-ḥomer is limited by the rule that the conclusion may contain nothing more than is found in the premise. This is the so-called "dayyo" law, which many teachers, however, ignored. It is formulated thus: V12p032005.jpgV12p032006.jpg ("The conclusion of an argument is satisfied when it is like the major premise"). The discovery of a fallacy in the process of deduction is called "teshubah" (objection), or, in the terminology of the Amoraim, "pirka." The possibility of such an objection is never wholly excluded, hence the deduction of the ḳal wa-ḥomer has no absolute certainty. The consequences of this are: (a) that the conclusions have, according to many teachers, no real value in criminal procedure, a view expressed in the axiom that the conclusion is insufficient to punish the violator of an inferred prohibition (V12p032007.jpgV12p032008.jpg; Sifre, Num. 1); (b) that very often a passage is interpreted to mean something which may be inferred by means of a ḳal wa-ḥomer (V12p032009.jpgV12p032010.jpg; Pes. 18b; Yoma 43a).

The second rule of Hillel and of Ishmael, and the seventh of Eliezer b. Jose ha-Gelili. This may be described as argument by analogy, which infers from the similarity of two cases that the legal decision given for the one holds good for the other also. The term "gezerah shawah" originally included arguments based on analogies either in word or in fact. Before long, however, the latter class was designated as "heḳḳesh," while the phrase "gezerah shawah" was limited to analogy in the case of two different Biblical laws containing a word common to both. The gezerah shawah was originally restricted to a δὶς λερόμευον, i.e., a word occurring only in the two passages offering the analogy. Since such a word is found nowhere else, there is no reason to assume that it bears different meanings in the two passages. The gezerah shawah consequently attaches to the word in the one passage the entire sequence of ideas which it bears in the other. Such a gezerah shawah is purely lexicographical, as seeking to determine the exact signification of a word by comparison with another passage in which the full meaning of such word is clear. The rule thus demonstrates itself. An example will illustrate this more clearly. The phrase V12p032011.jpg ("to wring off the head") occurs only twice in the Pentateuch, namely, in Lev. i. 15 and ib. v. 8. In the latter passage, however, the meaning of the phrase is more closely defined by V12p032012.jpg ("from the neck"). The Sifra (ed. Weiss, p. 9a) concludes, therefore, that the nearer definition, "from the neck," in the second passage, is part of the concept of the word V12p032013.jpg, and, consequently, that in the former passage, also, V12p032014.jpg means "to wring the head from the neck." At a later period, however, the gezerah shawah emerged from these narrow bounds and inferred the identity of legal requirements from the identity of their terminology, even when such terminology occurred in many passages besides the two which formed the analogy. Thereby the gezerah shawah lost its inherent power of demonstration; for it is wholly unreasonable to attribute to a word a meaning which happens to be associated with it in a single passage, when various other passages connect ideas entirely different with the same word. Since, moreover, each individual teacher might choose which two expressions he would select for a gezerah shawah, contradictory conclusions might be drawn, which would each have the same claim to validity, since both were obtained by a gezerah shawah. Consequently, in order to be binding, a gezerah shawah was obliged to conform to two requirements which, on the one hand, greatly restricted its application, and, on the other, gave legal decisions thus obtained the value of those deduced from a superfluous word in the Holy Scriptures. These conditions are: (a) V12p032015.jpg ("No one may draw a conclusion from analogy upon his own authority"; Pes. 66a; Niddah 19b). This rule, however, is not to be regarded as implying that every gezerah shawah must have been handed down from Sinai, as Rashi (on the various passages) and many expositors who followed him explained it, but that the use of this method of hermeneutics is to be permitted only to an entire board or council, and is to be employed only when its results agree with the traditional halakah, which thereby acquires the importance of alaw implied in the Scriptures. In Yerushalmi this rule reads: V12p033001.jpgV12p033002.jpg ("From a gezerah shawah conclusions may be deduced which support tradition, but not such as are opposed to tradition"; comp. Maimonides in the introduction to his "Mishneh Torah"). (b) The words of the text which form the basis of the deduction from analogy must be free, i.e., they must be superfluous and non-essential, or they may not be used (V12p033003.jpgV12p033004.jpg). This limitation of the gezerah shawah, however, to superfluous words is not generally recognized. Akiba considers the gezerah shawah valid when neither of the two words is superfluous (V12p033005.jpgV12p033006.jpg). According to Ishmael, it is sufficient if the analogy is free on one side (V12p033007.jpg), i.e., if one of the two words forming the basis of the analogy is pleonastic. Eliezer alone requires both words to be superfluous (V12p033008.jpg; comp. Hoffmann, "Zur Einleitung in die Halachischen Midrashchim," p. 6).

By this rule a decision in two laws having a characteristic in common (V12p033009.jpg) is applied to many other laws which have this same characteristic. Ishmael unites rules 2 and 4 in his third rule, while the same combination forms the eighth rule of Eliezer b. Jose ha-Gelili.

According to Ishmael, this principle has eight special applications, and thus includes eight separate rules in his scheme (Nos. 4-11). This method of limitation is one of the main points of difference between Ishmael and Akiba. According to the former, who follows his teacher R. Neḥunya b. ha-Ḳanah, the particular is only an elucidation of the preceding general expression, so that the latter includes only what is contained in the particular (V12p033010.jpgV12p033011.jpg). But if still another general follows the particular, the two general expressions are defined by the intermediate particular, so that the law applies only to what is like the particular (V12p033012.jpg). Akiba, on the contrary, applies the rule of increase and decrease (V12p033013.jpg) which had been taught him by his teacher Nahum of Gimzo. According to this principle, the general followed by a particular subsumes everything which is like the particular (Sanh. 45b, 46a). If, however, another general term follows the particular, the former subsumes also what is not similar to the latter. The two general terms are decreased in only one respect by the intermediate particular (V12p033014.jpgV12p033015.jpg; Shebu. 26a; comp. also Rashi on Sanh. l.c.).

Definition from the context. Ishmael omits rule 6 entirely, and has another (No. 13) instead which is not found in Hillel, and which reads thus: V12p033016.jpgV12p033017.jpg ("If two passages contradict each other, this contradiction must be reconciled by comparison with a third passage"). The method of solution of such opposing statements by the help of a third passage is a point of divergency between Ishmael and Akiba. According to the latter, the third sentence decides in favor of one of the two contradictory statements (Mek., ed. Weiss, 6a); according to the former, it modifies the interpretation of both. With regard to the meaning of words which are pointed in the text, Simeon b. Eleazar laid down the rule that if the pointed part of the word (V12p033018.jpg) is equal to the unpointed part (V12p033019.jpg) in length, the word must not be interpreted at all; but if one part is longer than the other, such part must be interpreted (Gen. R. lxxviii.). Concerning the interpretation of words by a change of letters or vowels the rule is: V12p033020.jpg ("Do not read so, but so"). Under this rule the integrity of the text itself is not assailed, the changes made being only for the purpose of explanation.

To support a halakic decision, and more especially to find a point of departure in the Haggadah, the traditional reading of a word is altered by transposition of its consonants or by substitution of others which are related to them, or the consonant-group is retained with alteration of its vowels, the last method being the most frequent. A halakic example of this form of hermeneutics is the interpretation of the word "kapot" (bough; Lev. xxiii. 40) as though it were "kaput" (bound; Sifra, ed. Weiss, p. 102d; Suk. 32a). It is noteworthy, moreover, that only the Tannaim derived new halakot with the aid of these rules, while the Amoraim employed them only in advancing haggadic explanations or in establishing the old halakot of the Tannaim.

Bibliography:

Saadia Gaon, Commentary on the thirteen middot of R. Ishmael, published by Schechter in Bet Talmud, iv. 237 et seq., and in the Œuvres Complètes, ix. 73-83;